Applied Mathematics and Optimization, Vol.84, No.3, 3295-3338, 2021
The Time Optimal Control of Two Dimensional Convective Brinkman-Forchheimer Equations
In this work, we discuss the time optimal control of two dimensional convective Brinkman-Forchheimer (2D CBF) equations, which describe the motion of incompressible viscous fluid through a rigid, homogeneous, isotropic, porous medium. We establish Pontryagin's maximum principle for the time optimal control of the 2D CBF equations.
Keywords:Convective Brinkman–;Forchheimer equations;Pontryagin’;s maximum principle;Porus medium;Time optimal control